   Chapter 15, Problem 7P Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Solutions

Chapter
Section Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

A normal distribution is a common assumption underlying many statistical tests. Although the assumption is usually not important, it is possible to test whether it is plausible. Specifically, the unit normal table lists proportions for individual sections of a normal distribution, and a chi-square test for goodness of fit can be used to evaluate whether a specific distribution fits the proportions. For example, if a normal distribution is divided into sections using z-score values, then proportions in each section should be as follows:   -1.5 < z -0.5 <z 0.5 <z   z < -1.5 -0.5 0.5 1.5 z > 1.5 6.68% 24.17% 38.30% 24.17% 6.68% Use these proportions to test whether the following sample of n = 90 scores is significantly different from a normal distribution. Test with a = .05.   -1.5 < z -0.5 <z 0.5 <z   z < -1.5 -0.5 0.5 1.5 z > 1.5 8 19 31 23 9

To determine

To Test: If there is significant difference between the observed values and normal distribution.

Explanation

Given info:

Observed values:

 Z<−1.5 −1.51.5 8 9 31 23 9

Expected values:

 Z<−1.5 −1.51.5 6.68% 24.17% 38.30% 24.17% 6.68%

n=90α=5%

Calculation:

The expected values can be rewritten as frequency as follows:

fe=fe%×90

Thus, the expected values are as follows:

6.012, 21.753, 34.47, 21.753, 6.012

χ2=(fofe)fe

The following table summarizes the calculations:

 Cell fo fe</

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Domain Find the domain of the function. 74. f(x) = log5(8 2x)

Precalculus: Mathematics for Calculus (Standalone Book)

Expand each expression in Exercises 122. (y1y)(y+1y)

Finite Mathematics and Applied Calculus (MindTap Course List)

True or False: Du f(a, b) = ∇(a, b) · u.

Study Guide for Stewart's Multivariable Calculus, 8th

True or False:

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 